The Standard Model (SM) of particle physics has been completed since the discovery of the Higgs boson at the LHC in 2012 [1]}, [2]}.
However, it is widely believed that new physics is required to explain various phenomena beyond SM, such as the existence of dark matter (DM) and the origin of neutrino mass and mixing.
We concern ourselves in this work two prominent particle physics puzzles.
One is the origin of baryon number asymmetry in the Universe [3]}.
In the content of electroweak (EW) baryogenesis [4]}, [5]}, [6]}, [7]},
the baryon number asymmetry is generated outside the EW broken phase and then captured by the bubbles' expansion in the
progress of electroweak phase transition (EWPT). Furthermore, a sufficiently strong first-order EWPT is required
to suppress the washout of baryon number asymmetry through sphalerons [7]}, [9]}.
However, the EWPT in the SM with the observed Higgs boson mass is found to be a crossover [10]}.
The other is the existence of DM.
There is overwhelming evidence from cosmological and astrophysical observations that show about 85% of the matter
in the Universe is DM, instead of the normal matter made from SM particles [3]}, [12]}, [13]}, [14]}.
The most popular class of DM candidates is that of weakly interacting massive particles (WIMPs), which
lies in the mass range of \(1-1000\)  GeV [15]}, [16]}.
These particles decouple from the thermal bath as the early Universe expands and cools and finally reach the
appropriate relic density as observed now.
